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14706912 = 2531119733
BaseRepresentation
bin111000000110…
…100011100000
31000200012002110
4320012203200
512231110122
61243115320
7236002203
oct70064340
930605073
1014706912
118335580
124b12b40
13307c11c
141d4b93a
15145790c
hexe068e0

14706912 has 96 divisors (see below), whose sum is σ = 44392320. Its totient is φ = 4216320.

The previous prime is 14706907. The next prime is 14706919. The reversal of 14706912 is 21960741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14706912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14706919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19698 + ... + 20430.

It is an arithmetic number, because the mean of its divisors is an integer number (462420).

Almost surely, 214706912 is an apocalyptic number.

14706912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14706912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22196160).

14706912 is an abundant number, since it is smaller than the sum of its proper divisors (29685408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14706912 is a wasteful number, since it uses less digits than its factorization.

14706912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 14706912 is about 3834.9591914387. The cubic root of 14706912 is about 245.0043703233.

The spelling of 14706912 in words is "fourteen million, seven hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 733 836 912 1056 1254 1466 1672 1824 2199 2508 2932 3344 4398 5016 5864 6688 8063 8796 10032 11728 13927 16126 17592 20064 23456 24189 27854 32252 35184 41781 48378 55708 64504 70368 83562 96756 111416 129008 153197 167124 193512 222832 258016 306394 334248 387024 445664 459591 612788 668496 774048 919182 1225576 1336992 1838364 2451152 3676728 4902304 7353456 14706912